无穷小的价值分析

无穷小在分析学中具有基础性地位,是分析学理论的基础,具有贯穿始终的价值。关于无穷小量概念的争论一直喋喋不休,本文力求对无穷小进行较为全面的分析,力求在深度广度上提出有见地的观点,并提出了如何把握无穷小量,无穷小量的物理学意义以及无穷小量的哲学地位。

The concept of infinitesimal is fundamental in analytics. It is the basis of mathematical analysis and has great value throughout. Debating on how to describe the concept of infinitesimal experienced a long time. This paper gives a more comprehensive analysis and insightful view on the infinitesimal,which extend previous results in depth and wide range. Furthermore, we also put forward some suggestions on how to grasp the concept of infinitesimals, its physical meaning, and its philosophical status.